Atkin-Lehner |
2- 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600cb |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4762880000000 = 214 · 57 · 612 |
Discriminant |
Eigenvalues |
2- 0 5+ 2 0 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4700,-66000] |
[a1,a2,a3,a4,a6] |
Generators |
[-537:3781:27] |
Generators of the group modulo torsion |
j |
44851536/18605 |
j-invariant |
L |
7.6289217880766 |
L(r)(E,1)/r! |
Ω |
0.59813224089452 |
Real period |
R |
6.3772868821544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001017 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
97600j2 24400a2 19520r2 |
Quadratic twists by: -4 8 5 |